Skip to main content Accessibility help
×
Home

Temporal Alfvén wave echoes in an inhomogeneous plasma

  • I. C. Rae (a1)

Abstract

If an external current pulse is applied to a diffuse plasma sheet pinch, surface wave modes are generated, which decay by collisionless damping, leaving only oscillations of the Alfvén continuum along the Alfvén resonance surface. The transverse perturbations within this surface phase-mix to zero. It is shown that perturbations induced by an initial pulse are modulated by a (later applied) second pulse of different wavelength, to yield non-vanishing second-order transverse perturbations, even though the first-order transverse perturbations have phase-mixed to zero. This analysis shows the importance of nonlinear effects in the evolution of inhomogeneous magnetohydrodynamic motions.

Copyright

References

Hide All
Appert, K., Balet, B. & Václavík, J. 1982 Phys. Lett. 87A, 233.
Coppi, B. & Pegoraro, F. 1982 Comments Plasma Phys. Controlled Fusion, 7, 53.
Consoli, T. 1980 Proceedings of 2nd Joint Grenoble-Varenna International Symposium. EUR 7424 EN.
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory. Academic.
Fiori, C. 1980 Proceedings of 2nd Joint Grenoble-Varenna International Symposium. EUR 7424 EN.
Grad, H. 1973 Proc. NAS (USA), 70, 3277.
Hasegawa, A. & Chen, L. 1975 Phys. Rev. Lett. 35, 370.
Jeffreys, H. & Jeffreys, B. S. 1946 Methods of Mathematical Physics. Cambridge University Press.
Kappraff, J. M. & Tataronis, J. A. 1977 J. Plasma Phys. 18, 209.
Muskhelishvili, N. I. 1953 Singular Integral Equations. Noordhoff.
Nozaki, K., Fried, B. D. & Morales, G. J. 1980 Proceedings of 2nd Joint Grenoble-Varenna International Symposium. EUR 7424 EN.
O'Neil, T. M. & Gould, R. W. 1968 Phys. Fluids, 11, 134.
Rae, I. C. & Roberts, B. 1981 Geophys. Astrophys. Fluid Dyn. 18, 197.
Rae, I. C. 1982 Plasma Phys. 24, 133.
Roberts, B. 1981 Solar Phys. 69, 39.
Sedláček, Z. 1971 J Plasma Phys. 5, 239.
Shohet, J. L. 1978 Comments Plasma Phys. Controlled Fusion 4, 37.
Tataronis, J. A. 1975 J. Plasma Phys. 13, 87.
Tsushima, A., Amagishi, Y. & Inutake, M. 1982 Phys. Lett. 88A, 457.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Temporal Alfvén wave echoes in an inhomogeneous plasma

  • I. C. Rae (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed